Question

what is the area of parallelogram rstu? 24 square units 26 square units 32 square units 38 square units

Explanation:

Step1: Find the base and height

From the graph, we can observe that the base of the parallelogram \(b = 6\) units (the horizontal distance from \(x = 0\) to \(x = 6\) for the base - like side). The height \(h = 4\) units (the vertical distance from \(y = 1\) to \(y = 5\)).

Step2: Use the area formula for a parallelogram

The formula for the area of a parallelogram is \(A=b\times h\). Substitute \(b = 6\) and \(h = 4\) into the formula: \(A=6\times4\).

Answer:

\(24\) square units (the first option)